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13-04-2021
Mathematics

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The sum of two numbers is 24. Three times the smaller numbers is 3 less than twice the larger number. Find the numbers.

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clarch19 clarch19

14-04-2021

Answer:

9, 15

Step-by-step explanation:

x = smaller number

y = larger number

system of equations:

x + y = 24

3x = 2y - 3

substitution method:

x = 24 - y

3(24 - y) = 2y - 3

72 - 3y = 2y - 3

72 = 5y - 3

75 = 5y

y = 15

x + 15 = 24

x = 9

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